Line Search Method

The basic goal of the Line search method is to determine a scalar multiplier η that is used to scale the current displacement increment so that the equilibrium is satisfied in a given direction. The actual displacement vector at the end of the i-th iteration thus becomes:

Consequently, the calculation process is either accelerated, η > 1, or damped, η < 1. Obviously, with the Line search performed each iteration, the expense of the iteration increases. On the other hand, this drawback is compensated by less number of iterations needed for convergence and by the possibility of avoiding divergence or oscillation of the process of iteration. By default the use of the Line search is enabled.

An inexperienced user is recommended to employ the default setting evident from the figure.